Answer:
x = 22°, ∠a = 88°, ∠b = 92°.
Step-by-step explanation:
Angle b has the same measurement as the angle of 5x - 18, since the two angles are corresponding angles.
Angle a has the same measurement as the angle of 3x + 22, since the two angles are alternate interior angles.
Since angle a and the angle of 5x - 18 form a straight line, the two angles add up to be 180 degrees. Since angle a is the same as the angle of 3x + 22, we can substitute the angle for angle a.
(5x - 18) + (3x + 22) = 180
5x + 3x - 18 + 22 = 180
8x + 4 = 180
8x = 176
x = 22°.
3(22) + 22 = 66 + 22 = 88 degrees.
That means that ∠a = 88°.
5(22) - 18 = 110 - 18 = 92 degrees.
That means that ∠b = 92°.
Hope this helps!
